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Finding the Third Proportional to 36,416 and 55,682

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Solution

The third proportional to 36,416 and 55,682 is: 85,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 55,682 = 55,682 : x
  2. Step 2: Convert to fraction form
    36,416/55,682 = 55,682/x
  3. Step 3: Cross multiply
    36,416x = 55,682 × 55,682
  4. Step 4: Simplify right side
    36,416x = 3,100,485,124
  5. Step 5: Solve for x
    x = 3,100,485,124/36,416
  6. Step 6: Final answer
    x = 85,140.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.